Which sequence of transformations on preimage ∆ABC will NOT produce the image ∆A'B'C'? A.
reflection across the line y = -x followed by a rotation 180° counterclockwise about the origin
B.
rotation 180° clockwise about the origin followed by a reflection across the line y = -x
C.
reflection across the x-axis followed by a reflection across the y-axis
D.
reflection across the line y = x
E.
reflection across the y-axis followed by a rotation 90° clockwise about the origin

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

Problem melissa is her dad build a walkway in their backyard. the walkway will be 54 feet long and 1.5 feet wide. the local hardware store sells tiles which are 1.5 by 1.5 feet and come in boxes of 12. how many boxes of tiles do they need?

Y=(x+3)(x-4)(x+1)^2 sulutions? multiplicity?